From the 1 of 4 linked papers with an AI index.
4 papers
Log Canonical Models and Positive Geometries
Benjamin Hollering, Dmitrii Pavlov, Elizabeth Pratt
The paper shows that for many varieties, explicit coordinates for their log canonical models can be obtained from canonical forms of positive geometries, and uses this to compute e…
Positivity and Cluster Structures in Landau Analysis
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi +1
Landau analysis in momentum twistor space can be formulated as the study of varieties of lines in three-dimensional projective space, together with their projections and discrimina…
Landau Analysis in the Grassmannian
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi +1
Momentum twistors for scattering amplitudes in particle physics are lines in three-space. We develop Landau analysis for Feynman integrals in this setting. The resulting discrimina…
Parke-Taylor varieties
Benjamin Hollering, Dmitrii Pavlov
Parke-Taylor functions are certain rational functions on the Grassmannian of lines encoding MHV amplitudes in particle physics. For particles there are Parke-Taylor functi…